Select the correct answer.
which table represents a nonlinear function?

C.

Step-by-step explanation:

If equal changes in x result in equal changes in y, then the function is linear.

A. Are the changes from (2, 4) to (4, 1) and from (4, 1) to (6, 11) equal?

The change from (2, 4) to (4, 1):

When x changes from 2 to 4, the change is 4 - 2 = 2.

y changes from -9 to 1; the change is 1 - (-9) = 10

The change from (4, 1) to (6, 11):

When x changes from 4 to 6, the change is 6 - 4 = 2.

y changes from 1 to 11; the change is 11 - 1 = 10

For a change in x of 2, the change in y is 10 in both cases. This function is linear.

B. Are the changes from (2, -14) to (4, -16) and from (4, -16) to (6, -18) equal?

The change from (2, -14) to (4, -16):

When x changes from 2 to 4, the change is 4 - 2 = 2.

y changes from -14 to -16; the change is -16 - (-14) = -2

The change from (4, -16) to (6, -18):

When x changes from 4 to 6, the change is 6 - 4 = 2.

y changes from -16 to -18; the change is -18 - (-16) = -2

For a change in x of 2, the change in y is -2 in both cases. This function is linear.

C. Are the changes from (2, 0) to (4, 6) and from (4, 6) to (6, 16) equal?

The change from (2, 0) to (4, 6):

When x changes from 2 to 4, the change is 4 - 2 = 2.

y changes from 0 to 6; the change is 6 - 0 = 6

The change from (4, 6) to (6, 16):

When x changes from 4 to 6, the change is 6 - 4 = 2.

y changes from 6 to 16; the change is 16 - 6 = 10

For a change in x of 2, the change in y is 6 in one case and 10 in the other case. This function is not linear.

D. Are the changes from (2, -9) to (4, -6) and from (4, -6) to (6, -3) equal?

The change from (2, -9) to (4, -6):

When x changes from 2 to 4, the change is 4 - 2 = 2.

y changes from -9 to -6; the change is - 9 - (-6) = -3

The change from (4, -6) to (6, -3):

When x changes from 4 to 6, the change is 6 - 4 = 2.

y changes from -6 to -3; the change is -6 - (-3) = -3

For a change in x of 2, the change in y is -3 in both cases. This function is linear.

answer: at first, in 1635, the evening meetings had been just for women . .

what relationship between ideas is shown in the text above?

question 1 options:

location of events

similarity of events

timing of events

examples of an idea

step-by-step explanation: